After the short story sequence with the Goron King head up Death Mountain trail. If you want you can first stop over in Goron City to get a bigger bomb carrying capacity. Just stop that big rolling goron on the third floor by using a bomb while he's inside the cave part. You can also light up all the torches on the bottom floor of the city using a torch from the King's room, then throw a bomb into the giant urn to try to get a heart container piece. When you're ready head to the peak of Death Mountain. Use your bombs to blow up the boulders in your way and when you get the part where it start to avalanche, use your Hylian shield and the rocks won't be able to hurt you. Just wait until they are done falling and then move again until you reach Death Mountain's peak. Once there, blow up the opening to the left of the owl (If you take the right one, you can find a golden Skultulla in a box and a Heart container piece in the climeable wall, but you must hurry!) and go inside. Play Zelda's Lullaby in front of the fountain to talk to the great faerie and get magic. Then talk to the owl and he'll give you a lift down the mountain. (After landing, drop down on top of the chicken women's pen and go through the hole there for a heart container piece). Now head to Hyrule Castle. In the castle grounds there is a side path on the right side of the main path with a sign and a boulder (remember to climb the vines to get past the first guard). Blow up the boulder and crawl in the cave to get the fire spell. Now return to Hyrule Field and follow the river East past Kakariko Village to get to Zora's River.